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Given 2 angles (a1, a2), where a1 is the horizontal angle and a2 is the vertical, how can I use these two angles to get the equation/s of a line that passes through the origin.

ex: 0° x 0° / 180° x 0° = (x,y,z) (0,(-∞,∞),0)

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    Hello! May you please edit your question with MathJax and provide the steps and methods you have tried to solve this problem? A guide to MathJax can be found here: https://math.meta.stackexchange.com/q/5020/1098096 –  Nov 06 '22 at 16:52

1 Answers1

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Two points fix a line. Now we need one more other than the origin. Let's say the Cartesian coordinate is $(x,y,z)$. Let's just assume that the point has unit magnitude. Given the two angles, $(x,y,z)=(\sin a_2\cos a_1, \sin a_2\sin a_1, cos a_2)$. Now you can use the line equation.

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